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**For which value of x....horizontal Tangent Line**

## Homework Statement

For which value of x does f(x) = [tex]\frac{k}{ax^{2}+bx+c}[/tex] have a horizontal tangent line?

## Homework Equations

Quotient Rule?

F'(x) = [g(x)a'(x) - a(x)g'(x)]/g(x)^2?

## The Attempt at a Solution

Am I supposed to just sub it into a quotient rule format, making the derivative equal to 0?

So it would look like

0 = 0 - (2ax + b)/[[ax[tex]^{2}[/tex]+bx+c][tex]^{2}[/tex]]? (and then simplify of course?)

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